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Graphing Inequalities (Done)

Quick Overview

• The directions will say something like

Please graph the following.

• The problems will look like:

$x\ge4$

or

$y<-12$

• The answers will look like:

Watch This

(See notes below video first)


A few notes on how the video above relates to Mr. Vizza's class.

At 2:20 seconds, He says "these numbers work".
In our class we say that these numbers "make the statement true" or "are part of solution set."

In terms of his "1 more and 1 less" method of graphing
I tend to graph a little differently in class. I only use the zero and the number in the problem calling it the "critical number." The answers are the same but I draw them just a little differently

Do This

Click here to go to the worksheet. Print it out.

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Solving Inequalities in One Variable (Done)

Quick Overview

The directions will say something like


Please solve and graph the following inequalities.

The problems will look like (sort of like equations where you need to get the letter by itself.)


Example
2x+4<12


Example
4(y-9)+3>12-y
The answers will look something like

Watch These

The following videos might be helpful.
Solving One Step Inequalities with Addition or Subtraction

• Some notes on the above video
  • You can SKIP the part from 3:10 to 4:22.
  • When he does the graph of the problem at 4:33, he uses a parentheses. Then he graphs it again "another way" (at 5:10) with an open dot. This is the way that I do it in class. Do not use the parentheses
  • You can SKIP at 5:40-6:15.
  • When he does the graph of the problem he does so two ways. The first time is with a bracket and the second time is with a closed dot. You can ignore the bracket. We use the dot only in our class.

Solving One Step Inequalities with Multiplication or Division

• Some notes on the above video
  • You can SKIP the FIRST MINUTE of the video.
  • Give special focus to what he says about multiplying or dividing both sides by a negative.

Steps You Might Need

The steps for these problems are very similar to the steps we use for solving equations.
1. Distribute
2. Collect Like Terms on the left and the right.
3. "Get" all of your variables on one side of the statement
4. Undo all additions and subtractions with the inverse operation.
5. Undo all multiplications and division with the inverse operation.

Do This

Click here to go to the worksheet you need to do. Print it out and do it.

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Graphing Compound Inequalities

Quick Overview

The directions will say something like


Please graph the following inequalities. State null set where appropriate.

The problems will look something like

Example

x<12 and x>4



The answers will look something like

Watch This

Steps You Might Need

1. Graph each invididual inequality.
2. Label the areas with the appropriate T's and F's (for True or False)
3. Graph the final answer by applying the appropriate analysis. (AND needs 2 T's and OR needs 1 or 2 T's)

Do This

Worksheet - Intro to Compound Inequalities

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Solving and Graphing Compound Inequalities

Quick Overview

The directions will say something like

Please solve and graph the following compound inequalities.


The problems will look something like
2x + 4 > 12 AND -3x + 1 + x > -35 + x

The answers will look something like

Watch These

Click here for how to Solve and Graph an AND Inequality.
Click here for how to Solve and Graph an OR Inequality.

Steps You Might Need

1. Solve each individual inequality. (Get the letter by itself in each statement using, Distribute, CLT, "Get", Undo...)
2. Graph each individual inequality.
3. Do the AND/OR Analysis for each graph using T's and F's.
4. Generate a final answer.

Do This